Search a number
-
+
32686283136 = 273136547733
BaseRepresentation
bin11110011100010000…
…010001100110000000
310010100222000020002010
4132130100101212000
51013420142030021
623003232252520
72234665552053
oct363420214600
9103328006063
1032686283136
1112953611341
1264026a1140
13310ba88250
14182110aa9a
15cb489e976
hex79c411980

32686283136 has 64 divisors (see below), whose sum is σ = 93501641520. Its totient is φ = 10057316352.

The previous prime is 32686283107. The next prime is 32686283207. The reversal of 32686283136 is 63138268623.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3268875 + ... + 3278858.

Almost surely, 232686283136 is an apocalyptic number.

It is an amenable number.

32686283136 is an abundant number, since it is smaller than the sum of its proper divisors (60815358384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

32686283136 is a wasteful number, since it uses less digits than its factorization.

32686283136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6547763 (or 6547751 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 48.

The spelling of 32686283136 in words is "thirty-two billion, six hundred eighty-six million, two hundred eighty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 6547733 13095466 19643199 26190932 39286398 52381864 78572796 85120529 104763728 157145592 170241058 209527456 255361587 314291184 340482116 419054912 510723174 628582368 680964232 838109824 1021446348 1257164736 1361928464 2042892696 2514329472 2723856928 4085785392 5447713856 8171570784 10895427712 16343141568 32686283136